Answer:
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Step-by-step explanation:
Just to add a bit more information, "Elimination" Can have a variety of other interpretations. Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.' Do not worry if you have not heard of these terms. They are used in Linear Algebra when referring to "Elimination techniques"
Gaussian Elimination
Gauss-Jordan Elimination
LU-Decomposition
QR-Decomposition
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Substitution is the preferred method for 2 equations in 2 unknowns. The constants are unimportant other than having a non-zero determinant. It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:
Example:
4X + 5Y = 9
5X - 4Y = 1
Notice that 20 is a LCM of either the X or Y variable. So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)
4(4X + 5Y = 9)
5(5X - 4Y = 1)
Multiplying to produce the LCM factors:
16X + 20Y = 36
25X - 20Y = 5
Adding the equations
41X = 41
X = 1
Substitution into either equation yields
Y = 1
Elimination techniques are preferred for Rank-n>3
Answer:
I like the view
when the angle of elevation of the sun is 78 degrees, an Statue casts a shadow that is 6m long. How far is the top of the statue to the end of it's shadow?
Answer:
28.9 m
Step-by-step explanation:
First, we can draw a picture. The statue is on the right, with the top of the statue representing the top right corner of the triangle. The angle of elevation to the sun is 78 degrees, so the angle between the shadow and the top of the statue must be 78 degrees as well. Assuming there is no angle of elevation between the shadow and the statue, we can say that the shadow and statue form a 90 degree angle because the shadow is perfectly horizontal and the statue is perfectly vertical.
We are trying to find the hypotenuse of the triangle, or the length from the top of the statue to the end of the shadow. To do this, we can utilize the fact that
cos(x) = adjacent / hypotenuse
cos(78°) = 6 / hypotenuse
divide both sides by cos(78°) and multiply both sides by hypotenuse to solve for the hypotenuse
hypotenuse = 6/cos(78°) ≈ 28.9 m
Can i get some help :
Answer:
is not equal to sign is used
please help me with this
Answer:
-9
Step-by-step explanation:
a(2) = a(1)+4 = -13+4 = -9
Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify
any fractions.
15c + 11 + 6 = 17
15c + 17 = 17 (A : add 11 to both sides.
B : subtract 11 from both
sides.
C: multiply both sides
By 11.
D: divide both sides by
11.
E: combine like terms.
15c = ?
c = ?
Answer:
I can't understand what to do, so I hope this helps
15c=0
c=0/15 or c=0
Step-by-step explanation:
15c + 11 + 6 = 17
subtract 11 from both sides
15c + 6 = 6
subtract 6 from both sides
15c=0
divide both sides by 15
c=0/15
What is x? Show your work.
Answer: x=2
Step-by-step explanation: 28/4-5= 2
what is the value of k makes the equation trur
Answer:
where is the equation??
pls attach that
3\sqrt{ }528
please help
Answer:
8.08248
Step-by-step explanation:
Use a calculator
What are the other steps?
Answer:
63 degrees
Step-by-step explanation:
Angle IGH is 40 degrees because it is vertical to angle BGD.
Angle HIG is 77 degrees because it is a linear pair with CIH.
Since 2 of the angles of triangle GHI are 40 and 77 degrees, and the 3 angles add to 180, angle IHG must be 63 degrees
Triangles â–łABC and â–łDFG are similar. The lengths of the two corresponding sides are 1. 4m , and 56 cm. What is the ratio of the perimeters of these triangles ?.
Answer:
5 : 2
Step-by-step explanation:
The ratio of perimeters of similar triangles is the same as the ratio of any pair of corresponding sides. That ratio is given as ...
1.4 m : 56 cm = 140 cm : 56 cm = 5 : 2
The ratio of the perimeters of the triangles is 5 : 2.
_____
As a unit ratio, it is 2.5 : 1, or 2.5.
16. The perimeter of a rectangular garden is 90 feet. The gardens lengin s5 feci less than 4 messen What are the length and width of the garden?
If 3 is added to three quarter of a certain number, the result is 30.find the original number.
Answer:
Original number is 36
Step-by-step explanation:
Let,
Number be x
3x/4 + 3 = 30
3x + 12/4 = 30
3x + 12 = 30 × 4
3x + 12 = 120
3x = 120 - 12
3x = 108
x = 108/3
x = 36
Alright I need help.. I will mark brainliest .
;-;
Answer:
x - y = 9
Step-by-step explanation:
When x goes up by 1, y goes up by 1. That means there is a constant difference between the values. That difference is x1 -y1 = 1 -(-8) = 9.
An equation relating the values is ...
x - y = 9
_____
Some folks like to see the relation in "y =" form. You can add y-9 to both sides to get that form:
y = x -9
If Kenny attempted 36 serves yesterday, how many serves did he make over the net?
base five to decimal base
Answer:
Below.
Step-by-step explanation:
Here's an example.
What is 123 in base 5 converted to decimal.
123 base 5 = 3 * 5^0 + 2*5^1 + 1 * 5^2
= 3 + 10 + 25
= 38 in decimal.
how to see if matrix is one to one calculator
Answer:
look at the pivots (the leading 1's of the rows)
Step-by-step explanation:
Then, look at the pivots (the leading 1's of the rows). If we have a pivot in every column, then the nullspace of the matrix (and hence the kernel of T) is zero-dimensional. So, T is one-to-one if and only if the REF has pivot in every column.
ITS DUE TMRW!! PLS HELP
What is the value of x in the solution to this system of equations?
5x − 5y = 120
y= −7x + 8
Enter your answer in the box.
Answer:
x = 24 + y
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
Answer:
Step-by-step explanation:
5x − 5y = 120
y= −7x + 8
Use the second equation in the first (eliminates y)
5x − 5(−7x + 8) = 120
5x (+35x -40) = 120
40x -40 = 120
40x = 160
x = 4
----
If x = 4:
y= −7x + 8
y= −7*(4) + 8
y= -28 + 8
y = -20
====
The solution is (4,-20)
I really really really need help with this
Answer:
404Step-by-step explanation:
PEMDAS48 ÷ 6 + (5×6) × 13 + 6 = → Parenthesis48 ÷ 6 + 30 × 13 + 6 = → Multiplication, division8 + 390 + 6 = → Addition404[tex]\huge \bf༆ Answer ༄[/tex]
Use PEDMAS/BODMAS rule for simplification !
Let's solve ~
[tex] \sf{48} \div 6 + (5 \times 6) \times 13 + 6[/tex][tex] \sf48 \div 6 + 30 \times 13 + 6[/tex][tex] \sf8 + 30 \times 13 + 6[/tex][tex] \sf8 + 390 + 6[/tex][tex] \sf404[/tex]i will make you brainliest
Answer:
Answers given in the photo
What is the multiplicative rate of change of the
exponential function shown on the graph?
20
2,
81
4
16
0 1
12
4
9
8
9
1.
NI
(-2
. 81)-1,3
X
(0, 1)
1
2
Intro
Done
Answer:
(d) 9/2
Step-by-step explanation:
The growth factor (multiplicative rate of change) can be found as the ratio of y-values for x-values that differ by 1.
Here, we have ...
x = 0, y = 1
x = 1, y = 9/2
These x-values differ by 1. The growth factor is (9/2)/1 = 9/2.
Which of the following values could represent the probabilities of complementary events? StartFraction 1 over 7 EndFraction and StartFraction 2 over 7 EndFraction 28% and 82% Two-fifths and Three-fifths 10% and 80%
Answer:
a
Step-by-step explanation:
Answer:
2/5 and 3/5
Step-by-step explanation:
Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l contains point S. The length of segment R S is 2 x + 8. The length of segment S Q is 8 x minus 4.
What is the length of segment SR?
Answer:
12
Step-by-step explanation:
Since RS = QS, we know 2x + 8 = 8x - 4
Subtract 2x from each side
8 = 6x - 4
Add 4 to each side
12 = 6x
Divide each side by 6
2 = x
SR is 2x + 8, so it is 2(2) + 8, so RS = 12
The length of the segment SR is 12.
What is a triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
Since RS = QS, we know 2x + 8 = 8x - 4
Subtract 2x from each side
8 = 6x - 4
Add 4 to each side
12 = 6x
Divide each side by 6
2 = x
SR is 2x + 8, so it is 2(2) + 8, SR = 12
Hence, the segment SR is 12.
To know more about triangles follow
https://brainly.com/question/17335144
#SPJ5
simplify this equation
Answer: 3x/(x-3)(x+1)
Question 1
Without solving, what can you tell about the solution to
this equation?
b + 14
(b + 14)
2
1 / 116
There is no solution.
There are infinitely
many solutions.
b is equal to 1 only.
b is equal to 0 only.
Answer:
there are infinitely many solutions
Step-by-step explanation:
1/2(b+14) is the same as (b+14)/2, so no matter what number you plug in for b, both sides will always be equal. thus, there is infinitely many solutions.
hope this helps <3
Answer: there is no solution.
Step-by-step explanation:
We can see mentally that when we multiply both sides by 2, we will be left with b+14 on both sides which will cancel out ( “b” will cancel out) so there is no solution.
Gerry purchases 12 hamburgers at a fast food restaurant for $2.25 each. For half the amount of money, he could purchase 5 buffalo chicken sandwiches. How much does 12 burgers cost?
If y is directly proportional to x and y is 12 when x = 10, what is y when x is 25?
Y = 25
Y = 30
Y = 20 5/6
Y = 26 1/5
None of the above
Answer:
Y= 30
Step-by-step explanation:
y=kx
when y=12, x=10
12=10k
k= 12/10
k = 6/5
when x= 25
y= 6/5 × 25
y= 30
Im just straight up confused. And dont leave a link
Answer:
The bottom left graph is a function
Step-by-step explanation:
I was pretty confused at first with this, too. To find if a graph is a function, however, just preform the vertical line test! Basically, draw a vertical line on each graph. At any point does it go through two or more points? Well, its not a function. We can see a vertical line would completly overlap the first graph, it would go through the half circle graph twice, and the circle? Well, that ones rather obvious...
With this test, we can see the only graph that passes the vertical line test is the bottom left graph (or the weird squiggly one)!
Hope this helps for future function solving!
Graph: y =
|x – 4| + 2
This is a photo of answer
Answer:
see attached
Step-by-step explanation:
The constants in the function shift the absolute value graph right 4 units and up 2 units. The attachment shows the translated function.
What is the value of 24 + 32 - 52
There are 25 students in Mr. Detwikers 1st period class. If 76% of these students complete their homework last night. How many students did their homework?
write y+9=-3x-9 in slope intercept form
Answer:
y = -3x - 18
Step-by-step explanation:
Subtract 9 from each side